What two numbers multiply to 564 and add up to -59?

Here we answer the question: "What two numbers multiply to 564 and add up to -59?"

The answer to your question is:

-47 and -12

Below we illustrate and prove that -47 and -12 multiply to 564 and add up to -59:

-47 × -12 = 564
-47 + -12 = -59

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 59x + 564 = 0

If so, the solution to factor the quadratic equation above is:

(x - 47 ) (x - 12)

To summarize, since -47 and -12 multiply to 564 and add up -59, you know that the following is true:

x² - 59x + 564 = (x - 47 ) (x - 12)

Multiply To One Number and Add Up To Another
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